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Finding the Fourth Proportional to 210,119.49, 289,953.09 and 119,462.67

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Solution

The fourth proportional to 210,119.49, 289,953.09 and 119,462.67 is: 164,851.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,119.49 : 289,953.09 = 119,462.67 : x
  2. Step 2: Convert to fraction form
    210,119.49/289,953.09 = 119,462.67/x
  3. Step 3: Cross multiply
    210,119.49x = 289,953.09 × 119,462.67
  4. Step 4: Simplify right side
    210,119.49x = 34,638,570,306.15
  5. Step 5: Solve for x
    x = 34,638,570,306.15/210,119.49
  6. Step 6: Final answer
    x = 164,851.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.